How to Calculate the Selling Price per Apple for a 10% Profit
A fruit seller bought 6 dozens of apples at Rs. 50 per dozen and found that 6 apples were rotten. Can you determine at what rate the seller needs to sell the remaining apples to achieve a 10% profit? Let's break down the steps and calculations involved in such a scenario.
Step-by-Step Calculation
Step 1: Calculate the Total Cost Price (CP)
The seller bought 6 dozens of apples at Rs. 50 per dozen.
Number of dozens:
6Cost per dozen:
Rs. 50Total Cost Price (CP) Total dozens times; Cost per dozen
Total Cost Price (CP) 6 times; 50 Rs. 300
Step 2: Calculate the Total Number of Apples
Since there are 12 apples in a dozen:
Total apples 6 dozens times; 12 apples/dozen
Total apples 72 apples
Step 3: Calculate the Number of Good Apples
The seller found that 6 apples were rotten.
Number of good apples Total apples - Rotten apples
Number of good apples 72 - 6 66 good apples
Step 4: Calculate the Desired Selling Price for a 10% Profit
To make a profit of 10%, the selling price must be 110% of the cost price.
Desired Profit 10% of CP 0.10 times; 300 Rs. 30
Total Selling Price (SP) Total CP Desired Profit
Total Selling Price (SP) 300 30 Rs. 330
Step 5: Calculate the Selling Price per Good Apple
To find the selling price per good apple:
Selling Price per apple Total SP divide; Number of good apples
Selling Price per apple 330 divide; 66 Rs. 5
Conclusion
The fruit seller needs to sell the remaining good apples at Rs. 5 per apple to achieve a 10% profit.
Additional Examples for Profit Calculation
Example 1: If a fruit seller buys a dozen apples at Rs. 45 and wants to make a 10% profit per dozen, what should be the selling price?
New cost per dozen 45 (10% of 45) 45 4.5 Rs. 49.5
To make a profit of 10% on cost:
He should sell the apples at 49.5 (10% of 49.5) 49.5 4.95 Rs. 54.45
Example 2: Determine the selling price for 72 good apples after calculating their cost price and selling them for a 10% profit.
CP of 6 dozen apples at 50/dozen 300
Number of apples he has to sell 72 - 6 rotten 66
SP of all the 72 apples 1.1 times; 300 Rs. 330
He has to sell 66 apples at 330
He has to sell each apple at 330 divide; 66 Rs. 5
Example 3: The cost price of 72 apples is Rs. 650. If he wants to make a profit of 10%, what should be the selling price?
Total apples 72
Profit needed 10%
The selling price should be 650 times; 110/100 Rs. 715
Rotten apples 6
Salable apples 72 - 6 66
66 apples should be sold for 715
12 apples should be sold for 715 divide; 66 times; 12 Rs. 120
Summary
By understanding the cost price, calculating the total selling price, and determining the selling price per good apple, you can ensure that a fruit seller makes the desired profit margin. Remember, the key is to accurately calculate the total cost and desired profit, and then break it down to the per-unit selling price.